Written Instructions:
For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..
For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.
Leave your answers in the simplest form or correct to two decimal places.
| 1) If 2331 sq.m. of land can be tilled by 18 workers in 10 days , how many workers are neede to till 5776 sq.m. of land in 14 days. workers Answer:_______________ |
| 2) If 2066 sq.m. of land can be tilled by 19 workers in 10 days , how many workers are neede to till 5632 sq.m. of land in 14 days. workers Answer:_______________ |
| 3) If 2773 sq.m. of land can be tilled by 16 workers in 8 days , how many workers are neede to till 5866 sq.m. of land in 15 days. workers Answer:_______________ |
| 4) If 2054 sq.m. of land can be tilled by 18 workers in 5 days , how many workers are neede to till 5918 sq.m. of land in 12 days. workers Answer:_______________ |
| 5) If 2436 sq.m. of land can be tilled by 18 workers in 10 days , how many workers are neede to till 4242 sq.m. of land in 12 days. workers Answer:_______________ |
| 6) If 2754 sq.m. of land can be tilled by 18 workers in 7 days , how many workers are neede to till 4408 sq.m. of land in 14 days. workers Answer:_______________ |
| 7) If 2277 sq.m. of land can be tilled by 19 workers in 5 days , how many workers are neede to till 4763 sq.m. of land in 15 days. workers Answer:_______________ |
| 8) If 2683 sq.m. of land can be tilled by 18 workers in 9 days , how many workers are neede to till 5083 sq.m. of land in 12 days. workers Answer:_______________ |
| 9) If 2195 sq.m. of land can be tilled by 20 workers in 9 days , how many workers are neede to till 5943 sq.m. of land in 15 days. workers Answer:_______________ |
| 10) If 2855 sq.m. of land can be tilled by 19 workers in 7 days , how many workers are neede to till 5255 sq.m. of land in 12 days. workers Answer:_______________ |
| 1) If 2331 sq.m. of land can be tilled by 18 workers in 10 days , how many workers are neede to till 5776 sq.m. of land in 14 days. Answer: 32 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2331 to 5776.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 10 to 14 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 18 = 2.47790647791 x 0.714285714286 x 18 = 32 workers |
| 2) If 2066 sq.m. of land can be tilled by 19 workers in 10 days , how many workers are neede to till 5632 sq.m. of land in 14 days. Answer: 37 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2066 to 5632.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 10 to 14 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 19 = 2.72604065828 x 0.714285714286 x 19 = 37 workers |
| 3) If 2773 sq.m. of land can be tilled by 16 workers in 8 days , how many workers are neede to till 5866 sq.m. of land in 15 days. Answer: 18 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2773 to 5866.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 8 to 15 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 16 = 2.11539848539 x 0.533333333333 x 16 = 18 workers |
| 4) If 2054 sq.m. of land can be tilled by 18 workers in 5 days , how many workers are neede to till 5918 sq.m. of land in 12 days. Answer: 22 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2054 to 5918.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 5 to 12 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 18 = 2.88120740019 x 0.416666666667 x 18 = 22 workers |
| 5) If 2436 sq.m. of land can be tilled by 18 workers in 10 days , how many workers are neede to till 4242 sq.m. of land in 12 days. Answer: 26 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2436 to 4242.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 10 to 12 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 18 = 1.74137931034 x 0.833333333333 x 18 = 26 workers |
| 6) If 2754 sq.m. of land can be tilled by 18 workers in 7 days , how many workers are neede to till 4408 sq.m. of land in 14 days. Answer: 14 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2754 to 4408.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 7 to 14 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 18 = 1.60058097313 x 0.5 x 18 = 14 workers |
| 7) If 2277 sq.m. of land can be tilled by 19 workers in 5 days , how many workers are neede to till 4763 sq.m. of land in 15 days. Answer: 13 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2277 to 4763.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 5 to 15 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 19 = 2.09178743961 x 0.333333333333 x 19 = 13 workers |
| 8) If 2683 sq.m. of land can be tilled by 18 workers in 9 days , how many workers are neede to till 5083 sq.m. of land in 12 days. Answer: 26 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2683 to 5083.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 9 to 12 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 18 = 1.89452105852 x 0.75 x 18 = 26 workers |
| 9) If 2195 sq.m. of land can be tilled by 20 workers in 9 days , how many workers are neede to till 5943 sq.m. of land in 15 days. Answer: 32 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2195 to 5943.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 9 to 15 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 20 = 2.70751708428 x 0.6 x 20 = 32 workers |
| 10) If 2855 sq.m. of land can be tilled by 19 workers in 7 days , how many workers are neede to till 5255 sq.m. of land in 12 days. Answer: 20 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2855 to 5255.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 7 to 12 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 19 = 1.84063047285 x 0.583333333333 x 19 = 20 workers |